论文标题

$ Q $ -Wolstenholme的定理变体

A variation of $q$-Wolstenholme's theorem

论文作者

Liu, Ji-Cai

论文摘要

我们调查了$ Q $ -Wolstenholme的定理的变体,该定理扩展了由于Shi和Pan [Amer而言,沃尔斯滕霍尔姆定理的$ q $ analogue。数学。每月114(2007),529--531]。该证明利用了ramanujan和cylthmic多项式的高阶对数衍生物。

We investigate a variation of $q$-Wolstenholme's theorem, which extends the $q$-analogue of Wolstenholme's theorem due to Shi and Pan [Amer. Math. Monthly 114 (2007), 529--531]. The proof makes use of the Ramanujan sum and higher order logarithmic derivatives of cyclotomic polynomials.

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